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2 years ago

What is the slope of (-3,5) and (2,3)

Mathematics

2 answers:

Elodia [21]2 years ago

4 0

The answer for this question is -2=5/657

MAVERICK [17]2 years ago

3 0

M=2 should be the slope

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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

10 months ago

Ingrid walked her dog and washed her car. The time she spent walking her dog was one-half the time it took her to wash her car.

Inessa [10]

Answer:

24m+24m=48m

Ingrid spent 48 minutes washing her car

Step-by-step explanation:

Plssss markkk me blainliest

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2 years ago

15-2x=-7x what does x equal

Degger [83]

Answer:

x = -3

Step-by-step explanation:

15 - 2x = -7x

add 2x

15 = -5x

divide by -5

-3 = x

4 0

2 years ago

What is the y-value for f(x) = cos(x) when x = 180°?<br> -1<br> 0<br> 1/2<br> 1

maksim [4K]

You start at 0 on the unit circle the cos of 0 =1, but at cos 0 there is no angle at all so there is no y value so at cos 0 y=0, 180 is the opposite direction of the starting point which is 0 so the x value of cos180= -1 but there is still no upward or downward angle ie.. y value. so the y value = 0 at 0 and 180. answer is 0

8 0

2 years ago

If 5 sips +4 gulps = 1 glass and 13 sips +7 gulps = 2 glasses, how many sips equal a gulp?

nataly862011 [7]

Answer:

3 sips equal a gulp

Step-by-step explanation:

we have

$5sips+4gulps=1glass$ ----> equation A